The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval −3≤x≤8?

Answers

Answer 1

The average rate of change of the function f(x) in the interval [tex]-3 \leq x\leq -2[/tex] is -15.

We are given an interval in which we have to find the average rate of change of the function f(x) based on the graph given in the question. The interval given is -3 [tex]\leq[/tex] x [tex]\leq[/tex] -2. We are going to apply the formula for an average rate of change to find the rate of change of the given function in the given interval.

The formula we will use is

The average rate of change = [tex]\frac{f(b) - f(a) }{b - a}[/tex]

Identifying the points in the graph,

a = 3, f(a) = -10

b = -2, f(b) = -25

We will substitute these values in the formula for the average rate of change.

The average rate of change = [tex]\frac{-25-(-10)}{-2-(-3)}[/tex]

The average rate of change = ( -25 + 10)/(-2 +3)

= -15/1

= -15.

Therefore, the average rate of change of the function in the interval [tex]-3 \leq x \leq -2[/tex] is -15.

To learn more about the average rate of a function;

https://brainly.com/question/2170564

#SPJ1

The complete question is "The function y=f(x)y=f(x) is graphed below. What is the average rate of change of the function f(x)f(x) on the interval -3\le x \le -2 −3≤x≤−2? "

The Function Y=f(x) Is Graphed Below. What Is The Average Rate Of Change Of The Function F(x) On The

Related Questions

What is 30 players for 10 sports expressed as a rate

Answers

The rate can be expressed as "3 players per sport"

What is rate?

A rate is a ratio that compares two quantities with different units. In this case, we have 30 players and 10 sports. To express this as a rate, we want to compare the number of players to the number of sports. We can write this as:

30 players / 10 sports

To simplify this ratio, we can divide both the numerator (30 players) and denominator (10 sports) by the same factor to get an equivalent ratio. In this case, we can divide both by 10:

(30 players / 10) / (10 sports / 10)

This simplifies to:

3 players / 1 sport

So the rate can be expressed as "3 players per sport" or "3:1" (read as "three to one"). This means that for every one sport, there are three players.

Alternatively, we can express the rate as a fraction or decimal by dividing the number of players by the number of sports:

30 players / 10 sports = 3 players/sport = 3/1 = 3 or 3.0 (as a decimal)

Learn more about rate

brainly.com/question/14731228

#SPJ11

What is the area of the shaded part of the circle?

And also, I am so confused about how to do it so can someone help me pls?

Answers

The required area of the shaded part of the circle is 50.24 sq. cm

What is area of a circle?

A circle of radius r has an area of r2 in geometry. Here, the Greek letter  denotes the constant ratio of a circle's diameter to circumference, which is roughly equivalent to 3.14159.

According to question:

Given data:

Radius of small circle = 6/2 = 3 cm

Radius of big circle = 10/2 = 5 cm

then.

Area of shaded part = area of big circle - area of small circle

Area of shaded part = π(5)² -  π(3)²

Area of shaded part = 25π - 9π

Area of shaded part = 16π

Area of shaded part = 50.24 sq. cm

Thus, required area of the shaded part of the circle is 50.24 sq. cm

To know more about Circle visit:

brainly.com/question/12711347

#SPJ1

Solve the equation. 2 = \dfrac{f}{8}2= 8

f



2, equals, start fraction, f, divided by, 8, end fraction

f =\,f=f, equals

Answers

The solution to the equation is f = 16. The value of f can be found by multiplying both sides of the equation by 8.

How we solve the equation: 2 = f/8 for f?

To solve the equation 2 = f/8 for f, we aim to isolate f on one side of the equation.

To do so, we can multiply both sides of the equation by 8, as this will cancel out the denominator of f/8.

By multiplying 2 by 8, we obtain 16 on the left side of the equation.

On the right side, the 8 in the denominator cancels out with the 8 we multiplied, leaving us with just f.

we find that f = 16 is the solution to the equation.

This means that if we substitute f with 16 in the equation, we will have a true statement: 2 = 16/8, which simplifies to 2 = 2.

f = 16 satisfies the original equation and is the solution.

It's important to note that when solving equations, we perform the same operation on both sides to maintain equality.

Learn more about equation

brainly.com/question/10413253

#SPJ11

I will give brainlyist to who ever answers it.



A family with travel 475 miles on the Road trip which inequality can be used to find all possible values of T the time it would take to reach their destination if they travel in an average speed of at least in miles per hour

Answers

The inequality that can be used to find all possible values of T, the time it would take to reach their destination if they travel at an average speed of at least "r" miles per hour, can be expressed as:

T ≤ 475 / r

This inequality states that the time taken (T) should be less than or equal to the distance traveled (475 miles) divided by the average speed (r miles per hour). By dividing the total distance by the average speed, we obtain the maximum time it would take to reach the destination. Any time less than or equal to this value would satisfy the condition of traveling at an average speed of at least "r" miles per hour.

To know more about average speed, refer here:

https://brainly.com/question/10449029

#SPJ11

If a card never cost to ask what the first minimum payment would be for $3000 balance transfer at 4. 99% there is currently no balance on the account and the fee is 4% the minimum payment would be what

Answers

The first minimum payment would be $62.40 as it is higher than $25.

To determine the first minimum payment for a $3000 balance transfer at 4.99% with a 4% fee, you need to first calculate the balance transfer fee and add it to the initial balance. Then, you'll need to determine the minimum payment based on the credit card issuer's policy.

1. Calculate the balance transfer fee: $3000 * 4% = $120
2. Add the balance transfer fee to the initial balance: $3000 + $120 = $3120
3. The minimum payment depends on the credit card issuer's policy. Typically, the minimum payment is a percentage of the balance or a fixed amount, whichever is higher. For example, if the issuer requires a minimum payment of 2% of the balance or $25, whichever is higher:
  - Calculate 2% of the balance: $3120 * 2% = $62.40
  - Since $62.40 is higher than $25, the first minimum payment would be $62.40.

Please note that the actual minimum payment may vary depending on the specific credit card issuer's policy.

To know more about minimum payment, refer to the link below:

https://brainly.com/question/18917426#

#SPJ11

During 2022, each of the assets was removed from service. The machinery was retired on January 1. The forklift was sold on June 30 for $13,000. The truck was discarded on December 31. Journalize all entries required on the above dates, including entries to update depreciation, where applicable, on disposed assets. The company uses straight-line depreciation. All depreciation was up to date as of December 31, 2021

Answers

Loss on disposal of plant assets = $46400 - $32550

Loss on disposal of plant assets = $13850

How to solve

Date Account titles and Explanation Debit Credit

Jan. 01 Accumulated depreciation-Equipment $81000

Equipment  $81000

June 30 Depreciation expense (1) $4000

Accumulated depreciation-Equipment  $4000

(To record depreciation expense on forklift)  

June 30 Cash $13000

Accumulated depreciation-Equipment (2) $28000

Equipment  $40000

Gain on disposal of plant assets (3)  $1000

(To record sale of forklift)  

Dec. 31 Depreciation expense (4) $5425

Accumulated depreciation-Equipment  $5425

(To record depreciation expense on truck)  

Dec. 31 Accumulated depreciation-Equipment (5) $32550

Loss on disposal of plant assets (6) $13850

Equipment  $46400

(To record sale of truck)  

Calculations :

(1)

Depreciation expense = (Book value - Salvage value) / Useful life

Depreciation expense = ($40000 - $0) / 5 = $8000 per year

So, for half year = $8000 * 6/12 = $4000

(2)

From Jan. 1, 2019 to June 30, 2022 i.e 3.5 years.

Accumulated depreciation = $8000 * 3.5 years = $28000

(3)

Gain on disposal of plant assets = Sale value + Accumulated depreciation - Book value

Gain on disposal of plant assets = $13000 + $28000 - $40000

Gain on disposal of plant assets = $1000

(4)

Depreciation expense = (Book value - Salvage value) / Useful life

Depreciation expense = ($46400 - $3000) / 8

Depreciation expense = $5425 per year

(5)

From Jan. 1, 2017 to Dec. 31, 2022 i.e 6 years.

Accumulated depreciation = $5425 * 6 years = $32550

(6)

Loss on disposal of plant assets = Book value - Accumulated depreciation

Loss on disposal of plant assets = $46400 - $32550

Loss on disposal of plant assets = $13850

Read more about depreciation here:

https://brainly.com/question/27971176

#SPJ1

6 cm
4.4 cm
2 cm


determine the total surface area of the figure.

Answers

The total surface area of the given cuboid is 94.4 square centimeter.

Given that, the dimensions of box are length=4.4 cm, breadth=2 cm and Hight=6 cm.

We know that, the total surface area of cuboid = 2(lb+bh+lh)

= 2(4.4×2+2×6+4.4×6)

= 2×47.2

= 94.4 square centimeter

Therefore, the total surface area of the given cuboid is 94.4 square centimeter.

Learn more about the surface area of a cuboid here:

https://brainly.com/question/26403859.

#SPJ1

Is The number of insects feeding on a tree leaf discrete or continious

Answers

The number of insects feeding on a tree leaf is a discrete variable.

The number of insects feeding on a tree leaf is a countable variable that can only take on integer values (0, 1, 2, 3, etc.). It cannot take on fractional or continuous values. This is because each insect can either feed on the leaf or not, and there cannot be a fractional or continuous number of insects feeding on the leaf.

Therefore, the number of insects feeding on a tree leaf is a discrete variable. This is in contrast to a continuous variable, which can take on any value within a certain range. For example, the weight of the insects on the leaf would be a continuous variable since it can take on fractional values.

In mathematical terms, the number of insects feeding on a tree leaf can be represented as a discrete random variable X, where X can take on any non-negative integer value.

For more questions like Variable click the link below:

https://brainly.com/question/17344045

#SPJ11

The probability that sue will go to mexico in the winter and to france

in the summer is

0. 40
. the probability that she will go to mexico in

the winter is

0. 60
. find the probability that she will go to france this

summer, given that she just returned from her winter vacation in

mexico

Answers

The  evaluated probability that Sue travel to France this summer is 0.67, under the condition that she just returned from her winter vacation in Mexico.

For the required problem we have to apply  Bayes' theorem.

Let  us consider that A is the event that Sue goes to France in the summer and B be the event that Sue goes to Mexico in the winter.

Now,

P(A and B) = P(B) × P(A|B)

= 0.40

P(B) = 0.60

Therefore now we have to find P(A|B),  which means the probability that Sue traveled to France after coming from Mexico

Applying Bayes' theorem,

P(A|B) = P(B|A) × P(A) / P(B)

It is given that P(B|A) = P(A and B) / P(A), then

P(A|B) = (P(A and B) / P(A)) × P(A) / P(B)

P(A|B) = P(A and B) / P(B)

Staging the values

P(A|B) = 0.40 / 0.60

P(A|B) = 0.67

To learn more about probability

https://brainly.com/question/13604758

#SPJ4

The complete question is

The probability that Sue will go to Mexico in the winter and to France in the summer is 0. 40. the probability that she will go to mexico in the winter is 0. 60. find the probability that she will go to France this summer, given that she just returned from her winter vacation in Mexico.

What is the probability of selecting an Ace, not replacing it, and then selecting a King?

Answers

The probability of selecting an Ace, not replacing it, and then selecting a King is 4/663 or approximately 0.006 or 0.6%.

The probability of selecting an Ace, not replacing it, and then selecting a King can be calculated using the rules of conditional probability.

First, we need to determine the probability of selecting an Ace from a standard deck of 52 cards. There are four Aces in the deck, so the probability of selecting an Ace is 4/52, which can be simplified to 1/13.

Next, we need to consider the fact that the Ace is not replaced before selecting the King. This means that the deck now contains 51 cards, with only three remaining Aces. Therefore, the probability of selecting a King after selecting an Ace without replacement is 4/51.

To determine the overall probability of selecting an Ace and then a King, we multiply the probability of selecting an Ace (1/13) by the probability of selecting a King after selecting an Ace without replacement (4/51).

The calculation is as follows:

(1/13) x (4/51) = 4/663

To know more about conditional probability, refer to the link below:

https://brainly.com/question/30144287#

#SPJ11

Multiply (x-4)(x+5) Show your work in the box and enter your answer in the spot below: (No work loses points)

Answers

The solution to the expression is x² + x - 20

How to calculate the expression?

(x-4)(x+5)

open the bracket

x² + 5x - 4x - 20

x² + x - 20

Hence the solution to the expression leads to quadratic equation which is written is x² + x -20

Read more on expression here

https://brainly.com/question/3726877

#SPJ1

(0,1),(5,2),(2,-3),(-3,-3),(-5,3) range and domain

Answers

The domain of the set of points {(0,1),(5,2),(2,-3),(-3,-3),(-5,3)} is {0, 5, 2, -3, -5}, and the range is {-3, 1, 2, 3}.

What is the range and domain of the relation?

Given the relations in the question:

(0,1), (5,2), (2,-3), (-3,-3), (-5,3)

To determine the domain and range of a set of points, we need to look at the x-coordinates of the points to determine the domain, and the y-coordinates of the points to determine the range.

{(0,1),(5,2),(2,-3),(-3,-3),(-5,3)}

The x-coordinates of these points are: 0, 5, 2, -3, and -5.

Therefore, the domain of this set of points is:

Domain = {0, 5, 2, -3, -5}

The y-coordinates of these points are: 1, 2, -3, and 3.

Therefore, the range of this set of points is:

Range = {-3, 1, 2, 3}

Therefore, the domain is {0, 5, 2, -3, -5}, and the range is {-3, 1, 2, 3}.

Learn more about domain here: brainly.com/question/30133157

#SPJ1

The spinner below is spun and a letter from the word MATH is chosen. Draw a tree
diagram and list the sample space.
Spinner:
Red
Blue
Yellow

Answers

The sample space of the number of outcomes is A = 12

Given data ,

To create a tree diagram and list the sample space, we need to consider the possible outcomes at each stage of the event.

First, we have three options for the spinner: Red, Blue, and Yellow.

Now, let's consider the possible outcomes when a letter is chosen from the word MATH

The total number of outcomes A = 12 outcomes

where A = { RM , BM , YM , RA , BA , YA , RT , BT , YT , RH , BH , YH }

       Red             Blue            Yellow

       / \             / \             / \

      M   A           M   A           M   A

     /     \         /     \         /     \

    T       H       T       H       T       H

Hence , the number of outcomes is A = 12 and the tree diagram is solved

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

A park maintenance person stands 16 m from a circular monument. Assume that her lines of sight form tangents to the monument and make an angle of 56°. What is the measure of the arc of the monument that her lines of sight intersect?

Answers

The measure of the angle of the near arc of the monument that her lines of sight intersect with is 124°

What is the angle of an arc of a circle?

The angle of an arc of a circle is the angle formed by the two radii of the circle that intersects with the boundaries of the arc

The distance the park maintenance person stands from the monument = 16 m

The angle the lines of sight from the maintenance person that are tangent with the monument make where they intersect = 56°

Whereby the tangent lines from the monument to the maintenance person intersect and form an angle of 56°, we get that the tangent lines form two right triangles, please see the attached figure which is created with MS Excel;

The right triangles ΔABO and ΔACO are congruent by Leg Hypotenuse, LH, congruence rule

Therefore; ∠OAC ≅ ∠OBC

m∠OAC = m∠OBC (Definition of congruent angles)

Similarly, m∠BOA = m∠COA

However, m∠BAC = m∠OAC  + m∠OBC (Angle addition postulate)

m∠BAC = 2 × m∠OAC = 56°

m∠OAC = 56° ÷ 2 = 28°

m∠BOA = 90° - m∠OBC (Acute angles of a right triangle)

m∠BOA = 90° - 28° = 62°

Therefore, m∠BOA = m∠COA = 62°

The angle at the center = m∠BOC = m∠BOA + m∠COA

m∠BOC = 62° + 62° = 124°

Angle formed at the center of the monument, m∠BOC = 124°

The arc angle of a circle = The angle the radius of the arc forms at the center of the circle.

The measure of the arc close to the park maintenance person is 124°

Learn more on circle theorems here: https://brainly.com/question/28699728

#SPJ1

Solve for x. Assume that lines which appear tangent are tangent.

Answers

Honestly my best guess is A

Se van a repartir $10000 entre 3 personas de tal forma q la primera recibe $900 mas q la segunda y esta $200 mas q la tercera.La persona más beneficiada recibe en total: a- $4600. b- $4400. c- $4200. d- $4000

Answers

Answer:

The answer is A

Step-by-step explanation:

7) Compute the derivative of the function m(x) = -5xğ · V(x2 – 9)3. =

Answers

The answer for the derivative of m(x) is:

m'(x) = -10x(x^2 – 9)^(3/2) - 15x^3(x^2 – 9)^(1/2)

This is the final result after applying the product rule and the chain rule.

By use the product rule and the chain rule how we find the derivative?

We can use the product rule and the chain rule to find the derivative of the function

First, let's break down the function as follows:

[tex]m(x) = -5x^2 · V(x^2 – 9)^3[/tex]

[tex]= -5x^2 · (x^2 – 9)^3/2[/tex]

Using the product rule, we have:

[tex]m'(x) = [-5x^2]' · (x^2 – 9)^3/2 + (-5x^2) · [(x^2 – 9)^3/2]'[/tex]

Taking the derivative of the first term:

[tex][-5x^2]' = -10x[/tex]

Taking the derivative of the second term using the chain rule:

[tex][(x^2 – 9)^3/2]' = (3/2)(x^2 – 9)^(3/2-1) · 2x[/tex]

[tex]= 3x(x^2 – 9)^(1/2)[/tex]

Putting it all together:

[tex]m'(x) = -10x · (x^2 – 9)^(3/2) + (-5x^2) · 3x(x^2 – 9)^(1/2)[/tex]

[tex]= -10x(x^2 – 9)^(3/2) - 15x^3(x^2 – 9)^(1/2)[/tex]

To compute the derivative of a function, we need to apply the rules of differentiation, which include the product rule and the chain rule. In this case, we have a product of two functions, [tex]-5x^2[/tex] and [tex]V(x^2 – 9)^3[/tex], where V represents the square root. We apply the product rule to differentiate the two functions.

The product rule states that if we have two functions, u(x) and v(x), then the derivative of their product, u(x) · v(x), is given by u'(x) · v(x) + u(x) · v'(x). We use this rule to differentiate the two terms in the product.For the first term, [tex]-5x^2[/tex], the derivative is straightforward and is simply -10x.

For the second term, [tex]V(x^2 – 9)^3[/tex], we need to use the chain rule because the function inside the square root is not a simple polynomial. The chain rule states that if we have a function g(u(x)), where u(x) is a function of x, then the derivative of g(u(x)) is given by g'(u(x)) · u'(x). In this case, we have [tex]g(u(x)) = V(u(x))^3[/tex], where [tex]u(x) = x^2 – 9[/tex]. We need to apply the chain rule with [tex]g(u) = V(u)^3[/tex] and [tex]u(x) = x^2 – 9[/tex].

To apply the chain rule, we first take the derivative of the function [tex]g(u) = V(u)^3[/tex] with respect to u. The derivative of [tex]V(u) = u^(1/2[/tex]) is [tex]1/(2u^(1/2))[/tex].

Learn more about Derivative

brainly.com/question/30365299

#SPJ11

Out of a sample of 760 people, 367 own their homes. Construct a 95% confidence interval for the population mean of people in the world that own their homes. CI = (45. 31%, 51. 27%) CI = (43. 62%, 52. 96%) CI = (44. 74%, 51. 84%) CI = (46. 87%, 52. 56%)

Answers

The correct confidence interval for the population mean of people in the world who own their homes is CI ≈ (45.3%, 51.3%).

To construct a confidence interval for the population mean of people in the world who own their homes, we can use the sample data and calculate the margin of error. The confidence interval will provide an estimated range within which the true population mean is likely to fall.

Given the sample size of 760 people and 367 individuals who own their homes, we can calculate the sample proportion of individuals who own their homes as follows:

Sample proportion (p-hat) = Number of individuals who own their homes / Sample size

p-hat = 367 / 760 ≈ 0.483

To construct the confidence interval, we can use the formula:

CI = p-hat ± Z * sqrt((p-hat * (1 - p-hat)) / n)

Where:

CI = Confidence Interval

p-hat = Sample proportion

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

n = Sample size

Plugging in the values, we get:

CI ≈ 0.483 ± 1.96 * sqrt((0.483 * (1 - 0.483)) / 760)

Calculating the expression inside the square root:

sqrt((0.483 * (1 - 0.483)) / 760) ≈ 0.0153

Substituting back into the confidence interval formula:

CI ≈ 0.483 ± 1.96 * 0.0153

CI ≈ (0.483 - 0.0300, 0.483 + 0.0300)

CI ≈ (0.453, 0.513)

Therefore, the correct confidence interval for the population mean of people in the world who own their homes is CI ≈ (45.3%, 51.3%). None of the provided answer choices match the correct confidence interval.

To learn more about expression, refer below:

https://brainly.com/question/14083225

#SPJ11


17. Cylinder A is similar to Cylinder B with a scale
factor of 3:7. If the surface area of Cylinder A
is 153 cm², find the surface area of Cylinder B.

Answers

The value of the surface area of Cylinder B is, 357 cm²

We have to given that;

Cylinder A is similar to Cylinder B with a scale factor of 3:7.

And, the surface area of Cylinder A.

Let us assume that,

The value of the surface area of Cylinder B is, y.

Hence, We can formulate;

3x : 7x = 153 : y

By comparing,

3x = 153

x = 51

Thus, The value of the surface area of Cylinder B is,

y = 7x

y = 7 x 51

y = 357 cm²

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ1

Let ∑an be a convergent series, and let S=limsn, where sn is the nth partial sum

Answers

The given statement "If ∑an is a convergent series, then S = limsn, where sn is the nth partial sum. " is true. This is because the sum of the series is defined as the limit of the sequence of partial sums.

Given that ∑an is a convergent series, sn is the nth partial sum, S=limsn

To prove limn→∞ an = 0

Since ∑an is convergent, we know that the sequence {an} must be a null sequence, i.e., it converges to 0. This means that for any ε>0, there exists an N such that |an|<ε for all n≥N.

Now, let's consider the partial sums sn. We know that S=limsn, which means that for any ε>0, there exists an N such that |sn−S|<ε for all n≥N.

Using the triangle inequality, we can write:

|an|=|sn−sn−1|≤|sn−S|+|sn−1−S|<2ε

Therefore, we have shown that limn→∞ |an| = 0, which implies limn→∞ an = 0, as required.

Hence, the proof is complete.

To know more about convergent series:

https://brainly.com/question/15415793

#SPJ4

Joe started a tutoring job and earns $40 per week tutoring his classmates. He bought a new iPad to help with his tutoring job for $150. Write a linear equation that represents Joe's money, y, after x amount of weeks.

Answers

Joe earns $40 per week tutoring his classmates. However, he spent $150 on a new iPad. Therefore, his earnings after x weeks can be represented by the equation:

y = 40x - 150

where y is Joe's money after x amount of weeks.

8


Violet is taking a computer-adaptive test, where each time she answers a question correctly, the computer gjves


her a more difficult question. Let Q be the number of questions Violet answers correctly before she misses one.


What type of variable is Q?


None of them.


Geometric


ОООО


Binomial


Algebraic

Answers

The variable Q, representing the number of questions Violet answers correctly before she misses one in a computer-adaptive test, is a Geometric variable.

This is because a geometric distribution models the number of trials needed for the first success in a series of Bernoulli trials with a constant probability of success.

Where as all aspects of a logarithmic articulation that is isolated by a short or in addition to sign is known as the term of the algebraic expression and an algebraicexpression with two non-zero terms is called a binomial.

To learn more about variable: https://brainly.com/question/28248724

#SPJ11

Find the value of k. Give your answer in degrees ().
k
84°
Not drawn accurately

Answers

Step-by-step explanation:

I had to add some assumed portions to your posted picture. See image.

 The yellow boxed angle is 84 degrees (upper LEFT) due to alternate interior angles of parallel lines transected by another line.

  then, since the triangle is isosceles ....the other (lower LEFT)  angle is 84 degrees also....

      that means that k= 12 degrees    for the triangle interior angles to sum to  180 degrees .

Fertilizer: A new type of fertilizer is being tested on a plot of land in an orange grove, to see whether it increases the amount of fruit produced. The mean number of pounds of fruit on this plot of land with the old fertilizer was 403 pounds. Agriculture scientists believe that the new fertilizer may decrease the yield. State the appropriate null and alternate hypotheses

Answers

Alternative hypothesis can also be written to reflect an increase in yield if the researchers believed that was a possibility.

Why Alternative hypothesis reflect an increase in yield?

In hypothesis testing, the null hypothesis is a statement that assumes there is no difference or no effect between two variables.

The alternative hypothesis, on the other hand, assumes that there is a difference or an effect between the variables being tested.

In this scenario, the null hypothesis would be that the new fertilizer has no effect on the yield of the orange grove. The alternative hypothesis would be that the new fertilizer decreases the yield of the orange grove.

So, the appropriate null and alternative hypotheses for this scenario can be stated as follows:

Null hypothesis (H0): The new fertilizer has no effect on the yield of the orange grove.

Alternative hypothesis (Ha): The new fertilizer decreases the yield of the orange grove.

It is important to note that the alternative hypothesis can also be written to reflect an increase in yield if the researchers believed that was a possibility.

Learn more about hypothesis

brainly.com/question/29519577

#SPJ11

Write as a logarithm with a base of 4.




2

Answers

To express the number 2 as a logarithm with a base of 4, you would write it as log₄(16). This is because 4² = 16.

In general, the logarithm function is the inverse of exponentiation. When we write logₐ(b) = c, it means that a raised to the power of c equals b.

In your example, you want to find the logarithm of 2 with a base of 4, which means you are looking for the exponent to which 4 must be raised to obtain 2.

So, log₄(2) represents the exponent c such that 4 raised to the power of c equals 2.

To learn more about exponent, refer below:

https://brainly.com/question/5497425

#SPJ11

how long is the red ribbon if the blue ribbon is 10 inches?

Answers

Unknown there is no equation in the question try saying the word problem to give clarity

If a circle has a circumference of 40π and a chord of the circle is 24 units, then the chord is ____ units from the center of the circle

Answers

A circle with a circumference of 40π and a chord of the circle is 24 units, then the chord is 16 units from the center of the circle,

The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle. Here, we are given that the circumference is 40π. That is

40π = 2πr

Dividing both sides by 2π, we get:

r = 20

Now, we need to find the distance between the chord and the center of the circle. Let O be the center of the circle, and let AB be the chord. We know that the perpendicular bisector of a chord passes through the center of the circle. Let P be the midpoint of AB, and let OP = x.

By the Pythagorean Theorem,

x^2 + 12^2 = 20^2

Simplifying,

x^2 + 144 = 400

x^2 = 256

x = ±16

Since OP is a distance, it must be positive. Therefore, x = 16, and the chord is 16 units from the center of the circle.

To learn more about circumference : https://brainly.com/question/27447563

#SPJ11

Kimi wants to teach her puppy 4 new tricks. in how many different orders can the puppy learn the tricks?

Answers

Answer:

3! = 6

Step-by-step explanation:

Once she teaches the puppy one trick there are 3 possible tricks left. After teaching the second trick there are 2 and after the third there is 1. Therefore, we multiply these numbers together to get 3(2)(1)=6 which is 3!.

We can calculate the depth � dd of snow, in centimeters, that accumulates in Harper's yard during the first ℎ hh hours of a snowstorm using the equation � = 5 ℎ d=5hd, equals, 5, h. How many hours does it take for 1 11 centimeter of snow to accumulate in Harper's yard? 1/5 hours How many centimeters of snow accumulate per hour?

Answers

It takes 1/5 hours or 12 minutes for 1 centimeter of snow to accumulate in Harper's yard.

We are given that the depth of snow that accumulates in Harper's yard during the first h hours of a snowstorm is given by the equation d = 5h.

To find out how many hours it takes for 1 centimeter of snow to accumulate, we need to find the value of h when the depth of snow d is equal to 1 centimeter.

Substituting d = 1 in the equation d = 5h, we get:

1 = 5h

Dividing both sides by 5, we get:

h = 1/5

In summary, the equation d = 5h gives the depth of snow in centimeters that accumulates in Harper's yard during the first h hours of a snowstorm. To find how many hours it takes for 1 centimeter of snow to accumulate, we substitute d = 1 and solve for h, which gives us h = 1/5 hours or 12 minutes.

To learn more about equation click on,

https://brainly.com/question/11494745

#SPJ1

Complete question is:

We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d = 5h. How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard?

Learning Task 4: Fill in the boxes for the correct information needed.
Quadrilaterals
Remember that we can relate triangle to quadrilateral through the
illustration that each triangle has a total of 180 degrees and a
quadrilateral has 360 degrees, therefore, there are two triangles in a
quadrilateral to have both equal to 360 degrees.
The relationship of triangles and quadrilaterals is in their area. The
formula in getting the area of a quadrilateral is A=BxH while in a triangle
it is A=(BxH)/2. This shows that in every quadrilateral there are two
triangles
There are many different types of quadrilaterals and they all share the
similarity of having four sides, two diagonals, and the sum of their interior
angles is 360 degrees. They all have relationships to one another, but
they are not all exactly alike and have different properties.

Answers

Quadrilaterals have four sides, two diagonals, and the sum of their interior angles is 360 degrees.

How to find Quadrilaterals?

Quadrilaterals are four-sided polygons that have two diagonals connecting opposite vertices. One of the most important properties of quadrilaterals is that the sum of their interior angles is always equal to 360 degrees. This means that a quadrilateral can be divided into two triangles, each of which has a total of 180 degrees. This relationship between triangles and quadrilaterals is useful when calculating the area of a quadrilateral.

The formula for calculating the area of a quadrilateral is A = B x H, where A is the area, B is the base, and H is the height. This formula is applicable to all types of quadrilaterals, regardless of their shape or size. However, different types of quadrilaterals have unique properties and formulas for calculating their area.

For example, a square is a type of quadrilateral that has four sides of equal length and four right angles. The formula for finding the area of a square is A = s², where s is the length of the side. A rectangle is a type of quadrilateral with two pairs of parallel sides and four right angles. The formula for calculating the area of a rectangle is A = L x W, where L is the length and W is the width.

A rhombus is another type of quadrilateral that has four sides of equal length, but its angles are not necessarily right angles. The formula for finding the area of a rhombus is A = (D₁ x D₂) / 2, where D₁ and D₂ are the lengths of the diagonals.

A trapezoid is a quadrilateral with one pair of parallel sides. The formula for finding the area of a trapezoid is A = ((B₁ + B₂) / 2) x H, where B₁ and B₂ are the lengths of the parallel sides, and H is the height between them.

Kites are quadrilaterals with two pairs of adjacent equal-length sides. The formula for finding the area of a kite is A = (D₁ x D₂) / 2, where D₁ and D₂ are the lengths of the diagonals.

In summary, all quadrilaterals share some common characteristics, such as having four sides, two diagonals, and the sum of their interior angles being equal to 360 degrees. However, different types of quadrilaterals have distinct properties and formulas for finding their area. By understanding these properties and formulas, one can solve problems involving different types of quadrilaterals.

Learn more about quadrilateral

brainly.com/question/29934440

#SPJ11

Other Questions
a restaurant meal cost $90 and there was a 6% meals tax on the price of the meal hey a)how much was the mail tax b) what was the total price of the meal with a meal tax David has 312 cups of blueberries. He uses 14 of a cup of blueberries to make a breakfast smoothie. He uses 12 of the remaining blueberries to make blueberry pancakes. How many cups of blueberries does he use for the pancakes?Write your answer as a whole number, fraction, or mixed number. Simplify any fractions According to a recent poll, 22% of US adults get an average of 7 or more hours of sleep per night. Assume this is the parameter value for the population. Suppose you select a simple random sample of 50 US adults and find that 10 of them get an average of 7 or more hours of sleep per night. Let p(hat) = the proportion in the sample who get an average of 7 or more hours of sleep per night.Assuming the polling information is true, the probability that 20% or less of US adults get an average of 7 or more hours of sleep per night is ?answer is .3664If needed, use the z-table to answer the question. chronic obstructive pulmonary disease caused by railroad how to get a settlement? Jermaine invested $3,200 in a defined-contribution account. Assuming he is in a 20% marginal tax bracket, how much did he lower his income taxes with the investment Review this reaction:H2SO4+NaOH->?.What are the products? What is Washington 50% exports are in what industry In a parallel circuit, which is true of the total resistance *OIt is equal to the product of all the resistancesOIt is equal to the sum of all the resistancesOIt is greater than the sum of the all the resistancesOIt is less than the sum of the all the resistances Based on what you have read, compare and contrast the reforms of nikita khrushchev and mikhail Gorbachev. Write Two to three paragraphs in which you support you arguments with reasons and evidence. 15 Points! 15 Points 15 Points!A student is graduating from college in 12 months but will need a loan in the amount of $10,720 for the last two semesters. The student may receive either an unsubsidized Stafford Loan or a PLUS Loan. The terms of each loan are:Unsubsidized Stafford Loan: annual interest rate of 5. 95%, compounded monthly, and a payment grace period of six months from time of graduationPLUS loan: annual interest rate of 6. 55%, compounded monthly, with a balance of $11,443. 63 at graduationWhich loan will have a lower balance, and by how much, at the time of repayment? The Stafford loan will have a lower balance by $485. 06 at the time of repayment. The PLUS loan will have a lower balance by $485. 06 at the time of repayment. The Stafford loan will have a lower balance by $274. 54 at the time of repayment. The PLUS loan will have a lower balance by $274. 54 at the time of repayment A mechanic had412 gallons of motor oil at the start of the day. At the end of the day, only 5 pints remained Which choice describes what may happen if a predator species disappears from an ecosystem?. Complete the table to show which elements appear in poetry, which elements appear in prose, and which elements appear in both. (note I did not mean to click poetry in the image. HOW TO SOLVE LINEAR REGRESSIONS Crane Company reported net income of $172,780 for 2022. Crane Company also reported depreciation expense of $33,750 and a loss of $5,470 on the disposal of plant assets. The comparative balance sheets show an increase in accounts receivable of $14,400 for the year, a $15,400 increase in accounts payable, and a $3,680 increase in prepaid expenses. Prepare the operating activities section of the statement of cash flows for 2022. Use the indirect method HELP! BRAINLIST! THIS IS DUE IT IS END OF UNIT ASSESSMENT Honest Answers areexpected from you"TRUTH"1: Love or money? 2: What am I to you? 3: Number ofrelationships till now ? 4: Would you unfriend mefor someone else?5: Single or Taken? 6: Name your ex-crush?7: kiss or kill or hug me?8: What you like in me? 9: Current crush name? 10: Do you want mynumber ? 11: Do you like me?12: Now you have put thison ur status asking TRUTH OR DARE"DARE"1. Send me your last picyou clicked with yourmobile 2. Say me I love you. And you are not allowed todelete the message3. Dedicate me a song. 4. Send me ur crush/loverpic. Not celebrity. 5. Now u have to put thison your status asking. TRUTH or DAREAND IT IS MANDATORY the process in which an atom or ion experiences a decrease in its oxidation state is _____________. A solution of lithium carbonate reacts with a solution of potassium iodide to produce solid potassium carbonate and aqueous lithium iodide. You measure 3. 9 moles of potassium carbonate produced by the reaction. How much lithium iodide was produced? How many joules are required to raise the temperature of 100.0 grams of water from -269 degrees celsius to 1500 degrees celsius